Q 9 Prove that the two triangles below have the same area - Maths - Area

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Q 9 Prove that the two triangles below have the same area

Lovina Kansal · Accepted Answer

Dear student
Semi-preimeter of blue △,s=a+b+c2=5+5+62=8cmArea of blue △=ss-a(s-b)(s-c) where a,b,c are the sides of △=8(8-5)(8-5)(8-6)=8×3×3×2=2×2×3=12cm2Semi-preimeter of yellow △,S=A+B+C2=5+5+82=9cmArea of yellow △=SS-A(S-B)(S-C) where A,B,C are the sides of △=9(9-5)(9-5)(9-8)=9×4×4×1=3×4=12cm2So, Area of blue △=Area of yellow △
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Q.9. Prove that the two triangles below have the same area.